Remarks on Some Inequalities for Analogues of the Polygamma Function
The purpose of this study is twofold. The first is, to point out drawbacks of some recent results concerning
analogues the Polygamma function. The second is to resolve the drawbacks by providing improvements
of the previous results.
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- [1] Ismail M. E. H. and Muldoon M. E., Higher Monotonicity Properties of q-gamma and q-psi Functions, Adv.
Dyn. Syst. Appl., 8(2)(2013), 247-259.
- [2] Krasniqi V. and Shabani A. S., Convexity Properties and Inequalities for a Generalized Gamma Function, Appl.
Math. E-Notes, 10(2010), 27-35.
- [3] Laforgia A. and Natalini P., Turan type inequalities for some special functions, J. Ineq. Pure Appl. Math.,
7(1)(2006), Art. 22, 1-5.
- [4] Merovci F., Turan type inequalities for p-Polygamma functions, Matematiche (Catania), LXVIII(II)(2013), 99-106.
- [5] Merovci F., Turan type inequalities for (p, q)-Gamma function, Scientia Magna, 9(1)(2013), 25-30.
- [6] Merovci F., Turan type inequalities for some (q, k)-Special functions, Acta Univ. Apulensis Math. Inform., 34(2013),
69-76.
- [7] Nantomah K., The (p, q)-Analogues of Some Inequalities for the Digamma Function, J. Inequal. Spec. Funct.,
5(2)(2014), 10-14.
- [8] Qi F., A Completely Monotonic Function Related to the q-Trigamma Function, U.P.B. Sci. Bull., Series A,
76(1)(2014), 107-114.
- [9] Sulaiman W. T., Turan type Inequalities for Some Special Functions, Aust. J. Math. Anal. Appl., 9(1)(2012), 1-7.